University of Isfahan Transactions on Combinatorics 2251-8657 11 3 2022 09 01 A short note on the topological decomposition of the central product of groups 123 129 26350 10.22108/toc.2022.130505.1908 EN Yanga Bavuma Department of Mathematical Sciences, University of South Africa, P.O.Box 392, Pretoria, South Africa Journal Article 2021 09 11 It has been recently observed that a topological decomposition of the Pauli group, as central product of the quaternion group of order eight and the cyclic group of order four, influences some significant dynamical systems in mathematical physics. The connection between groups of symmetries and dynamical systems is in fact well known, but looking specifically at the algebraic and topological decompositions of the Pauli group, we find conditions for the existence of a Riemannian $3$-manifold whose fundamental group is epimorphically mapped onto a central product. https://toc.ui.ac.ir/article_26350_e41bc90d8c244e9ff092cab75e4a4ce3.pdf